Find the slope of the line satisfying the given conditions.
-through $( 6 , - 2 )$ and $( 4,7 )$
A) $\frac { 2 } { 9 }$
B) $- \frac { 2 } { 9 }$
C) $\frac { 9 } { 2 }$
D) $- \frac { 9 } { 2 }$

Question

Quizplus · Accepted Answer

The slope of a line through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points $(6, -2)$ and $(4, 7)$ into this formula gives $m = \frac{7 - (-2)}{4 - 6} = \frac{9}{-2} = -\frac{9}{2}$.

Find the Slope of the Line Satisfying the Given Conditions (6,−2)( 6 , - 2 )(6,−2)

Find the Slope of the Line Satisfying the Given Conditions $( 6 , - 2 )$